Properties

Label 799.2.k.b.494.6
Level $799$
Weight $2$
Character 799.494
Analytic conductor $6.380$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [799,2,Mod(18,799)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(799, base_ring=CyclotomicField(46))
 
chi = DirichletCharacter(H, H._module([0, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("799.18");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 799 = 17 \cdot 47 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 799.k (of order \(23\), degree \(22\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.38004712150\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(32\) over \(\Q(\zeta_{23})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{23}]$

Embedding invariants

Embedding label 494.6
Character \(\chi\) \(=\) 799.494
Dual form 799.2.k.b.613.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.91776 + 0.263590i) q^{2} +(-1.41094 - 0.858009i) q^{3} +(1.68249 - 0.471413i) q^{4} +(-0.565102 + 1.59004i) q^{5} +(2.93200 + 1.27355i) q^{6} +(0.0740666 + 1.08282i) q^{7} +(0.448697 - 0.194897i) q^{8} +(-0.125636 - 0.242466i) q^{9} +O(q^{10})\) \(q+(-1.91776 + 0.263590i) q^{2} +(-1.41094 - 0.858009i) q^{3} +(1.68249 - 0.471413i) q^{4} +(-0.565102 + 1.59004i) q^{5} +(2.93200 + 1.27355i) q^{6} +(0.0740666 + 1.08282i) q^{7} +(0.448697 - 0.194897i) q^{8} +(-0.125636 - 0.242466i) q^{9} +(0.664610 - 3.19828i) q^{10} +(0.437701 + 0.468663i) q^{11} +(-2.77837 - 0.778462i) q^{12} +(1.29682 - 1.83718i) q^{13} +(-0.427462 - 2.05706i) q^{14} +(2.16159 - 1.75859i) q^{15} +(-3.79496 + 2.30776i) q^{16} +(-0.682553 + 0.730836i) q^{17} +(0.304850 + 0.431875i) q^{18} +(-1.55314 - 4.37012i) q^{19} +(-0.201213 + 2.94164i) q^{20} +(0.824562 - 1.59133i) q^{21} +(-0.962941 - 0.783410i) q^{22} +(-4.83174 - 0.664108i) q^{23} +(-0.800306 - 0.110000i) q^{24} +(1.66966 + 1.35837i) q^{25} +(-2.00273 + 3.86510i) q^{26} +(-0.368848 + 5.39237i) q^{27} +(0.635070 + 1.78691i) q^{28} +(1.32024 + 1.87035i) q^{29} +(-3.68187 + 3.94232i) q^{30} +(-3.57195 + 2.17215i) q^{31} +(5.91056 - 4.80860i) q^{32} +(-0.215451 - 1.03680i) q^{33} +(1.11633 - 1.58148i) q^{34} +(-1.76358 - 0.494132i) q^{35} +(-0.325682 - 0.348721i) q^{36} +(1.32867 - 6.39393i) q^{37} +(4.13048 + 7.97146i) q^{38} +(-3.40605 + 1.47946i) q^{39} +(0.0563348 + 0.823585i) q^{40} +(-7.65973 - 3.32709i) q^{41} +(-1.16185 + 3.26914i) q^{42} +(7.58127 - 2.12417i) q^{43} +(0.957363 + 0.582185i) q^{44} +(0.456528 - 0.0627483i) q^{45} +9.44118 q^{46} +(-2.60111 + 6.34305i) q^{47} +7.33452 q^{48} +(5.76780 - 0.792766i) q^{49} +(-3.56006 - 2.16492i) q^{50} +(1.59010 - 0.445526i) q^{51} +(1.31583 - 3.70238i) q^{52} +(11.1798 + 4.85608i) q^{53} +(-0.714013 - 10.4385i) q^{54} +(-0.992541 + 0.431121i) q^{55} +(0.244271 + 0.471421i) q^{56} +(-1.55822 + 7.49857i) q^{57} +(-3.02490 - 3.23888i) q^{58} +(6.03175 + 1.69002i) q^{59} +(2.80785 - 3.97781i) q^{60} +(-1.44727 - 6.96465i) q^{61} +(6.27760 - 5.10720i) q^{62} +(0.253240 - 0.153999i) q^{63} +(-4.00435 + 4.28761i) q^{64} +(2.18836 + 3.10020i) q^{65} +(0.686474 + 1.93155i) q^{66} +(-0.425528 + 6.22100i) q^{67} +(-0.803866 + 1.55139i) q^{68} +(6.24747 + 5.08269i) q^{69} +(3.51237 + 0.482765i) q^{70} +(11.4647 + 1.57578i) q^{71} +(-0.103628 - 0.0843077i) q^{72} +(1.06002 - 2.04575i) q^{73} +(-0.862702 + 12.6123i) q^{74} +(-1.19029 - 3.34915i) q^{75} +(-4.67329 - 6.62054i) q^{76} +(-0.475057 + 0.508662i) q^{77} +(6.14202 - 3.73504i) q^{78} +(7.69839 - 6.26311i) q^{79} +(-1.52491 - 7.33827i) q^{80} +(4.67467 - 6.62251i) q^{81} +(15.5665 + 4.36154i) q^{82} +(11.4186 + 12.2263i) q^{83} +(0.637146 - 3.06612i) q^{84} +(-0.776349 - 1.49829i) q^{85} +(-13.9792 + 6.07200i) q^{86} +(-0.257992 - 3.77172i) q^{87} +(0.287736 + 0.124981i) q^{88} +(2.59071 - 7.28956i) q^{89} +(-0.858971 + 0.240672i) q^{90} +(2.08538 + 1.26815i) q^{91} +(-8.44245 + 1.16039i) q^{92} +6.90352 q^{93} +(3.31634 - 12.8501i) q^{94} +7.82637 q^{95} +(-12.4652 + 1.71331i) q^{96} +(2.28090 + 1.38704i) q^{97} +(-10.8523 + 3.04067i) q^{98} +(0.0586439 - 0.165008i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 2 q^{3} - 32 q^{4} - 2 q^{5} - 10 q^{6} - 21 q^{7} - 34 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 704 q - 2 q^{3} - 32 q^{4} - 2 q^{5} - 10 q^{6} - 21 q^{7} - 34 q^{9} + 4 q^{10} - 4 q^{11} - 4 q^{12} + 12 q^{13} + 2 q^{14} + 14 q^{15} - 32 q^{16} + 32 q^{17} - 6 q^{18} + 4 q^{19} - 14 q^{20} + 8 q^{22} - 2 q^{23} - 24 q^{24} - 42 q^{25} + 18 q^{26} - 8 q^{27} + 2 q^{28} - 12 q^{29} - 184 q^{30} + 12 q^{31} - 12 q^{33} - 6 q^{35} + 110 q^{36} - 472 q^{38} + 97 q^{39} + 142 q^{40} + 43 q^{41} + 18 q^{42} + 37 q^{43} - 20 q^{44} - 38 q^{45} - 136 q^{46} + 15 q^{47} - 24 q^{48} - 11 q^{49} + 68 q^{50} + 2 q^{51} - 4 q^{52} - 11 q^{53} - 551 q^{54} + 71 q^{55} + 186 q^{56} + 103 q^{57} + 20 q^{58} - 30 q^{59} + 208 q^{60} + 18 q^{61} - 228 q^{62} + 22 q^{63} - 92 q^{64} - 32 q^{65} - 52 q^{66} + 8 q^{67} + 32 q^{68} - 128 q^{69} - 706 q^{70} - 42 q^{71} - 34 q^{72} + 26 q^{73} + 46 q^{74} + 8 q^{75} + 46 q^{76} - 534 q^{77} - 118 q^{78} + 36 q^{79} - 84 q^{80} + 74 q^{81} + 173 q^{82} + 88 q^{83} + 90 q^{84} + 2 q^{85} + 224 q^{86} + 126 q^{87} + 22 q^{88} - 8 q^{89} + 390 q^{90} + 258 q^{91} + 215 q^{92} - 430 q^{93} - 8 q^{94} + 4 q^{95} + 72 q^{96} + 34 q^{97} + 165 q^{98} + 276 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/799\mathbb{Z}\right)^\times\).

\(n\) \(52\) \(377\)
\(\chi(n)\) \(e\left(\frac{14}{23}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91776 + 0.263590i −1.35606 + 0.186386i −0.777310 0.629117i \(-0.783416\pi\)
−0.578752 + 0.815504i \(0.696460\pi\)
\(3\) −1.41094 0.858009i −0.814604 0.495372i 0.0494466 0.998777i \(-0.484254\pi\)
−0.864051 + 0.503405i \(0.832080\pi\)
\(4\) 1.68249 0.471413i 0.841247 0.235706i
\(5\) −0.565102 + 1.59004i −0.252721 + 0.711089i 0.746247 + 0.665669i \(0.231854\pi\)
−0.998968 + 0.0454198i \(0.985537\pi\)
\(6\) 2.93200 + 1.27355i 1.19698 + 0.519924i
\(7\) 0.0740666 + 1.08282i 0.0279946 + 0.409266i 0.990454 + 0.137841i \(0.0440164\pi\)
−0.962460 + 0.271424i \(0.912505\pi\)
\(8\) 0.448697 0.194897i 0.158638 0.0689064i
\(9\) −0.125636 0.242466i −0.0418785 0.0808218i
\(10\) 0.664610 3.19828i 0.210168 1.01138i
\(11\) 0.437701 + 0.468663i 0.131972 + 0.141307i 0.793399 0.608702i \(-0.208310\pi\)
−0.661427 + 0.750010i \(0.730049\pi\)
\(12\) −2.77837 0.778462i −0.802045 0.224723i
\(13\) 1.29682 1.83718i 0.359674 0.509542i −0.596392 0.802693i \(-0.703400\pi\)
0.956066 + 0.293151i \(0.0947040\pi\)
\(14\) −0.427462 2.05706i −0.114244 0.549772i
\(15\) 2.16159 1.75859i 0.558121 0.454065i
\(16\) −3.79496 + 2.30776i −0.948739 + 0.576941i
\(17\) −0.682553 + 0.730836i −0.165543 + 0.177254i
\(18\) 0.304850 + 0.431875i 0.0718539 + 0.101794i
\(19\) −1.55314 4.37012i −0.356315 1.00258i −0.976009 0.217731i \(-0.930134\pi\)
0.619693 0.784844i \(-0.287257\pi\)
\(20\) −0.201213 + 2.94164i −0.0449927 + 0.657770i
\(21\) 0.824562 1.59133i 0.179934 0.347257i
\(22\) −0.962941 0.783410i −0.205300 0.167024i
\(23\) −4.83174 0.664108i −1.00749 0.138476i −0.386494 0.922292i \(-0.626314\pi\)
−0.620993 + 0.783816i \(0.713271\pi\)
\(24\) −0.800306 0.110000i −0.163362 0.0224536i
\(25\) 1.66966 + 1.35837i 0.333931 + 0.271673i
\(26\) −2.00273 + 3.86510i −0.392768 + 0.758009i
\(27\) −0.368848 + 5.39237i −0.0709848 + 1.03776i
\(28\) 0.635070 + 1.78691i 0.120017 + 0.337695i
\(29\) 1.32024 + 1.87035i 0.245162 + 0.347315i 0.920881 0.389844i \(-0.127471\pi\)
−0.675719 + 0.737159i \(0.736167\pi\)
\(30\) −3.68187 + 3.94232i −0.672215 + 0.719767i
\(31\) −3.57195 + 2.17215i −0.641542 + 0.390130i −0.802349 0.596856i \(-0.796417\pi\)
0.160807 + 0.986986i \(0.448590\pi\)
\(32\) 5.91056 4.80860i 1.04485 0.850048i
\(33\) −0.215451 1.03680i −0.0375051 0.180485i
\(34\) 1.11633 1.58148i 0.191449 0.271222i
\(35\) −1.76358 0.494132i −0.298099 0.0835235i
\(36\) −0.325682 0.348721i −0.0542804 0.0581201i
\(37\) 1.32867 6.39393i 0.218433 1.05116i −0.716843 0.697235i \(-0.754413\pi\)
0.935275 0.353921i \(-0.115152\pi\)
\(38\) 4.13048 + 7.97146i 0.670052 + 1.29314i
\(39\) −3.40605 + 1.47946i −0.545404 + 0.236902i
\(40\) 0.0563348 + 0.823585i 0.00890731 + 0.130220i
\(41\) −7.65973 3.32709i −1.19625 0.519604i −0.296088 0.955161i \(-0.595682\pi\)
−0.900161 + 0.435556i \(0.856552\pi\)
\(42\) −1.16185 + 3.26914i −0.179278 + 0.504440i
\(43\) 7.58127 2.12417i 1.15613 0.323933i 0.362295 0.932063i \(-0.381993\pi\)
0.793837 + 0.608130i \(0.208080\pi\)
\(44\) 0.957363 + 0.582185i 0.144328 + 0.0877677i
\(45\) 0.456528 0.0627483i 0.0680551 0.00935396i
\(46\) 9.44118 1.39203
\(47\) −2.60111 + 6.34305i −0.379411 + 0.925228i
\(48\) 7.33452 1.05865
\(49\) 5.76780 0.792766i 0.823971 0.113252i
\(50\) −3.56006 2.16492i −0.503468 0.306166i
\(51\) 1.59010 0.445526i 0.222659 0.0623861i
\(52\) 1.31583 3.70238i 0.182472 0.513428i
\(53\) 11.1798 + 4.85608i 1.53567 + 0.667034i 0.985755 0.168188i \(-0.0537915\pi\)
0.549912 + 0.835222i \(0.314661\pi\)
\(54\) −0.714013 10.4385i −0.0971648 1.42050i
\(55\) −0.992541 + 0.431121i −0.133834 + 0.0581324i
\(56\) 0.244271 + 0.471421i 0.0326421 + 0.0629963i
\(57\) −1.55822 + 7.49857i −0.206391 + 0.993210i
\(58\) −3.02490 3.23888i −0.397189 0.425286i
\(59\) 6.03175 + 1.69002i 0.785267 + 0.220021i 0.638983 0.769221i \(-0.279356\pi\)
0.146284 + 0.989243i \(0.453269\pi\)
\(60\) 2.80785 3.97781i 0.362492 0.513534i
\(61\) −1.44727 6.96465i −0.185304 0.891732i −0.964322 0.264731i \(-0.914717\pi\)
0.779018 0.627001i \(-0.215718\pi\)
\(62\) 6.27760 5.10720i 0.797256 0.648616i
\(63\) 0.253240 0.153999i 0.0319052 0.0194020i
\(64\) −4.00435 + 4.28761i −0.500543 + 0.535951i
\(65\) 2.18836 + 3.10020i 0.271432 + 0.384532i
\(66\) 0.686474 + 1.93155i 0.0844991 + 0.237758i
\(67\) −0.425528 + 6.22100i −0.0519865 + 0.760016i 0.896469 + 0.443106i \(0.146124\pi\)
−0.948456 + 0.316910i \(0.897355\pi\)
\(68\) −0.803866 + 1.55139i −0.0974831 + 0.188134i
\(69\) 6.24747 + 5.08269i 0.752107 + 0.611884i
\(70\) 3.51237 + 0.482765i 0.419809 + 0.0577014i
\(71\) 11.4647 + 1.57578i 1.36061 + 0.187011i 0.779289 0.626665i \(-0.215580\pi\)
0.581319 + 0.813676i \(0.302537\pi\)
\(72\) −0.103628 0.0843077i −0.0122127 0.00993576i
\(73\) 1.06002 2.04575i 0.124066 0.239437i −0.817744 0.575582i \(-0.804776\pi\)
0.941810 + 0.336145i \(0.109123\pi\)
\(74\) −0.862702 + 12.6123i −0.100287 + 1.46614i
\(75\) −1.19029 3.34915i −0.137443 0.386726i
\(76\) −4.67329 6.62054i −0.536063 0.759428i
\(77\) −0.475057 + 0.508662i −0.0541378 + 0.0579674i
\(78\) 6.14202 3.73504i 0.695447 0.422910i
\(79\) 7.69839 6.26311i 0.866137 0.704654i −0.0905131 0.995895i \(-0.528851\pi\)
0.956650 + 0.291241i \(0.0940681\pi\)
\(80\) −1.52491 7.33827i −0.170490 0.820443i
\(81\) 4.67467 6.62251i 0.519408 0.735834i
\(82\) 15.5665 + 4.36154i 1.71904 + 0.481651i
\(83\) 11.4186 + 12.2263i 1.25335 + 1.34201i 0.916283 + 0.400532i \(0.131175\pi\)
0.337069 + 0.941480i \(0.390565\pi\)
\(84\) 0.637146 3.06612i 0.0695184 0.334541i
\(85\) −0.776349 1.49829i −0.0842069 0.162512i
\(86\) −13.9792 + 6.07200i −1.50741 + 0.654761i
\(87\) −0.257992 3.77172i −0.0276597 0.404370i
\(88\) 0.287736 + 0.124981i 0.0306728 + 0.0133231i
\(89\) 2.59071 7.28956i 0.274615 0.772692i −0.722107 0.691782i \(-0.756826\pi\)
0.996721 0.0809102i \(-0.0257827\pi\)
\(90\) −0.858971 + 0.240672i −0.0905435 + 0.0253691i
\(91\) 2.08538 + 1.26815i 0.218607 + 0.132938i
\(92\) −8.44245 + 1.16039i −0.880186 + 0.120979i
\(93\) 6.90352 0.715862
\(94\) 3.31634 12.8501i 0.342055 1.32538i
\(95\) 7.82637 0.802969
\(96\) −12.4652 + 1.71331i −1.27223 + 0.174864i
\(97\) 2.28090 + 1.38704i 0.231590 + 0.140833i 0.630585 0.776120i \(-0.282815\pi\)
−0.398995 + 0.916953i \(0.630641\pi\)
\(98\) −10.8523 + 3.04067i −1.09625 + 0.307154i
\(99\) 0.0586439 0.165008i 0.00589393 0.0165839i
\(100\) 3.44954 + 1.49835i 0.344954 + 0.149835i
\(101\) 1.12593 + 16.4605i 0.112034 + 1.63788i 0.625823 + 0.779965i \(0.284763\pi\)
−0.513789 + 0.857917i \(0.671758\pi\)
\(102\) −2.93200 + 1.27355i −0.290311 + 0.126100i
\(103\) 2.38112 + 4.59535i 0.234619 + 0.452794i 0.975846 0.218461i \(-0.0701036\pi\)
−0.741227 + 0.671255i \(0.765756\pi\)
\(104\) 0.223821 1.07708i 0.0219474 0.105617i
\(105\) 2.06433 + 2.21035i 0.201458 + 0.215709i
\(106\) −22.7203 6.36592i −2.20679 0.618313i
\(107\) −11.1382 + 15.7792i −1.07677 + 1.52543i −0.245628 + 0.969364i \(0.578994\pi\)
−0.831138 + 0.556066i \(0.812310\pi\)
\(108\) 1.92145 + 9.24650i 0.184891 + 0.889745i
\(109\) 2.16822 1.76398i 0.207678 0.168959i −0.521569 0.853209i \(-0.674653\pi\)
0.729247 + 0.684250i \(0.239871\pi\)
\(110\) 1.78982 1.08841i 0.170652 0.103776i
\(111\) −7.36072 + 7.88141i −0.698649 + 0.748070i
\(112\) −2.77996 3.93831i −0.262682 0.372135i
\(113\) 4.51568 + 12.7059i 0.424799 + 1.19527i 0.940883 + 0.338732i \(0.109998\pi\)
−0.516084 + 0.856538i \(0.672611\pi\)
\(114\) 1.01175 14.7912i 0.0947587 1.38532i
\(115\) 3.78639 7.30739i 0.353082 0.681418i
\(116\) 3.10300 + 2.52447i 0.288106 + 0.234392i
\(117\) −0.608379 0.0836198i −0.0562447 0.00773066i
\(118\) −12.0129 1.65114i −1.10588 0.152000i
\(119\) −0.841915 0.684949i −0.0771782 0.0627891i
\(120\) 0.627158 1.21036i 0.0572515 0.110490i
\(121\) 0.722603 10.5641i 0.0656912 0.960372i
\(122\) 4.61133 + 12.9750i 0.417490 + 1.17471i
\(123\) 7.95271 + 11.2664i 0.717072 + 1.01586i
\(124\) −4.98581 + 5.33850i −0.447739 + 0.479411i
\(125\) −10.3125 + 6.27114i −0.922374 + 0.560908i
\(126\) −0.445061 + 0.362084i −0.0396492 + 0.0322570i
\(127\) 2.30580 + 11.0961i 0.204607 + 0.984622i 0.948610 + 0.316446i \(0.102490\pi\)
−0.744004 + 0.668176i \(0.767076\pi\)
\(128\) −2.23887 + 3.17175i −0.197890 + 0.280346i
\(129\) −12.5192 3.50773i −1.10226 0.308838i
\(130\) −5.01393 5.36861i −0.439751 0.470858i
\(131\) 1.02788 4.94645i 0.0898067 0.432173i −0.910038 0.414526i \(-0.863947\pi\)
0.999844 0.0176477i \(-0.00561774\pi\)
\(132\) −0.851257 1.64285i −0.0740924 0.142992i
\(133\) 4.61700 2.00545i 0.400345 0.173894i
\(134\) −0.823734 12.0426i −0.0711597 1.04032i
\(135\) −8.36566 3.63372i −0.720001 0.312741i
\(136\) −0.163822 + 0.460952i −0.0140476 + 0.0395263i
\(137\) 19.5245 5.47052i 1.66809 0.467378i 0.699215 0.714911i \(-0.253533\pi\)
0.968879 + 0.247533i \(0.0796198\pi\)
\(138\) −13.3209 8.10062i −1.13395 0.689570i
\(139\) −2.43661 + 0.334905i −0.206671 + 0.0284062i −0.238759 0.971079i \(-0.576741\pi\)
0.0320885 + 0.999485i \(0.489784\pi\)
\(140\) −3.20015 −0.270462
\(141\) 9.11239 6.71785i 0.767401 0.565745i
\(142\) −22.4019 −1.87992
\(143\) 1.42864 0.196362i 0.119469 0.0164206i
\(144\) 1.03633 + 0.630209i 0.0863612 + 0.0525174i
\(145\) −3.72000 + 1.04230i −0.308930 + 0.0865580i
\(146\) −1.49363 + 4.20267i −0.123613 + 0.347815i
\(147\) −8.81819 3.83028i −0.727312 0.315916i
\(148\) −0.778694 11.3841i −0.0640082 0.935767i
\(149\) −11.2598 + 4.89080i −0.922435 + 0.400670i −0.805586 0.592479i \(-0.798149\pi\)
−0.116850 + 0.993150i \(0.537280\pi\)
\(150\) 3.16549 + 6.10912i 0.258461 + 0.498808i
\(151\) 1.62491 7.81951i 0.132234 0.636343i −0.859827 0.510585i \(-0.829429\pi\)
0.992061 0.125758i \(-0.0401363\pi\)
\(152\) −1.54861 1.65816i −0.125609 0.134495i
\(153\) 0.262955 + 0.0736767i 0.0212587 + 0.00595640i
\(154\) 0.776967 1.10071i 0.0626098 0.0886979i
\(155\) −1.43530 6.90705i −0.115286 0.554788i
\(156\) −5.03322 + 4.09483i −0.402980 + 0.327849i
\(157\) 14.0923 8.56973i 1.12469 0.683939i 0.171161 0.985243i \(-0.445248\pi\)
0.953528 + 0.301304i \(0.0974221\pi\)
\(158\) −13.1128 + 14.0404i −1.04320 + 1.11699i
\(159\) −11.6075 16.4440i −0.920531 1.30409i
\(160\) 4.30581 + 12.1154i 0.340405 + 0.957807i
\(161\) 0.361235 5.28107i 0.0284693 0.416207i
\(162\) −7.21928 + 13.9326i −0.567200 + 1.09465i
\(163\) 6.12647 + 4.98425i 0.479862 + 0.390397i 0.840072 0.542475i \(-0.182512\pi\)
−0.360210 + 0.932871i \(0.617295\pi\)
\(164\) −14.4559 1.98692i −1.12882 0.155152i
\(165\) 1.77032 + 0.243324i 0.137819 + 0.0189428i
\(166\) −25.1208 20.4373i −1.94976 1.58624i
\(167\) 8.14701 15.7230i 0.630435 1.21668i −0.331513 0.943451i \(-0.607559\pi\)
0.961948 0.273233i \(-0.0880931\pi\)
\(168\) 0.0598333 0.874731i 0.00461624 0.0674870i
\(169\) 2.65996 + 7.48440i 0.204612 + 0.575723i
\(170\) 1.88379 + 2.66872i 0.144480 + 0.204681i
\(171\) −0.864475 + 0.925626i −0.0661080 + 0.0707844i
\(172\) 11.7541 7.14781i 0.896240 0.545016i
\(173\) 10.3220 8.39757i 0.784767 0.638456i −0.152011 0.988379i \(-0.548575\pi\)
0.936778 + 0.349923i \(0.113792\pi\)
\(174\) 1.48896 + 7.16525i 0.112877 + 0.543196i
\(175\) −1.34720 + 1.90854i −0.101838 + 0.144272i
\(176\) −2.74262 0.768446i −0.206733 0.0579238i
\(177\) −7.06036 7.55980i −0.530689 0.568229i
\(178\) −3.04691 + 14.6625i −0.228375 + 1.09900i
\(179\) −3.74015 7.21817i −0.279552 0.539511i 0.706139 0.708073i \(-0.250435\pi\)
−0.985691 + 0.168562i \(0.946088\pi\)
\(180\) 0.738525 0.320787i 0.0550464 0.0239100i
\(181\) 0.550971 + 8.05490i 0.0409533 + 0.598716i 0.972174 + 0.234260i \(0.0752668\pi\)
−0.931221 + 0.364456i \(0.881255\pi\)
\(182\) −4.33353 1.88232i −0.321222 0.139527i
\(183\) −3.93372 + 11.0684i −0.290789 + 0.818202i
\(184\) −2.29742 + 0.643708i −0.169368 + 0.0474548i
\(185\) 9.41579 + 5.72587i 0.692263 + 0.420974i
\(186\) −13.2393 + 1.81970i −0.970753 + 0.133427i
\(187\) −0.641270 −0.0468943
\(188\) −1.38616 + 11.8983i −0.101096 + 0.867775i
\(189\) −5.86626 −0.426707
\(190\) −15.0091 + 2.06296i −1.08888 + 0.149663i
\(191\) −11.1199 6.76215i −0.804606 0.489292i 0.0560810 0.998426i \(-0.482139\pi\)
−0.860687 + 0.509134i \(0.829966\pi\)
\(192\) 9.32868 2.61377i 0.673240 0.188633i
\(193\) −2.22634 + 6.26433i −0.160256 + 0.450917i −0.995018 0.0996938i \(-0.968214\pi\)
0.834762 + 0.550610i \(0.185605\pi\)
\(194\) −4.73983 2.05880i −0.340300 0.147813i
\(195\) −0.427635 6.25181i −0.0306236 0.447701i
\(196\) 9.33057 4.05284i 0.666469 0.289488i
\(197\) −4.09773 7.90826i −0.291951 0.563440i 0.696030 0.718012i \(-0.254948\pi\)
−0.987981 + 0.154572i \(0.950600\pi\)
\(198\) −0.0689705 + 0.331904i −0.00490152 + 0.0235874i
\(199\) −10.2172 10.9400i −0.724280 0.775514i 0.257349 0.966319i \(-0.417151\pi\)
−0.981628 + 0.190805i \(0.938890\pi\)
\(200\) 1.01391 + 0.284085i 0.0716944 + 0.0200878i
\(201\) 5.93807 8.41232i 0.418839 0.593360i
\(202\) −6.49809 31.2705i −0.457204 2.20019i
\(203\) −1.92746 + 1.56810i −0.135281 + 0.110059i
\(204\) 2.46531 1.49919i 0.172606 0.104964i
\(205\) 9.61875 10.2992i 0.671803 0.719325i
\(206\) −5.77771 8.18515i −0.402552 0.570287i
\(207\) 0.446015 + 1.25497i 0.0310002 + 0.0872262i
\(208\) −0.681609 + 9.96477i −0.0472611 + 0.690933i
\(209\) 1.36830 2.64071i 0.0946476 0.182662i
\(210\) −4.54151 3.69480i −0.313394 0.254965i
\(211\) −12.3248 1.69401i −0.848476 0.116620i −0.301188 0.953565i \(-0.597383\pi\)
−0.547288 + 0.836944i \(0.684340\pi\)
\(212\) 21.0992 + 2.90002i 1.44910 + 0.199174i
\(213\) −14.8239 12.0601i −1.01572 0.826346i
\(214\) 17.2011 33.1966i 1.17584 2.26927i
\(215\) −0.906661 + 13.2549i −0.0618338 + 0.903978i
\(216\) 0.885453 + 2.49143i 0.0602475 + 0.169520i
\(217\) −2.61660 3.70688i −0.177627 0.251640i
\(218\) −3.69316 + 3.95441i −0.250133 + 0.267827i
\(219\) −3.25089 + 1.97691i −0.219675 + 0.133587i
\(220\) −1.46671 + 1.19326i −0.0988854 + 0.0804492i
\(221\) 0.457526 + 2.20174i 0.0307765 + 0.148105i
\(222\) 12.0386 17.0549i 0.807981 1.14465i
\(223\) 15.5031 + 4.34377i 1.03817 + 0.290880i 0.746321 0.665586i \(-0.231818\pi\)
0.291844 + 0.956466i \(0.405731\pi\)
\(224\) 5.64460 + 6.04389i 0.377146 + 0.403825i
\(225\) 0.119589 0.575493i 0.00797259 0.0383662i
\(226\) −12.0091 23.1766i −0.798836 1.54168i
\(227\) −18.9295 + 8.22222i −1.25639 + 0.545728i −0.918487 0.395452i \(-0.870588\pi\)
−0.337905 + 0.941180i \(0.609718\pi\)
\(228\) 0.913225 + 13.3509i 0.0604798 + 0.884183i
\(229\) 4.44253 + 1.92966i 0.293571 + 0.127516i 0.540052 0.841632i \(-0.318405\pi\)
−0.246481 + 0.969148i \(0.579274\pi\)
\(230\) −5.33523 + 15.0119i −0.351794 + 0.989855i
\(231\) 1.10671 0.310086i 0.0728162 0.0204021i
\(232\) 0.956912 + 0.581911i 0.0628243 + 0.0382043i
\(233\) 5.32485 0.731884i 0.348843 0.0479473i 0.0403818 0.999184i \(-0.487143\pi\)
0.308461 + 0.951237i \(0.400186\pi\)
\(234\) 1.18877 0.0777122
\(235\) −8.61583 7.72034i −0.562035 0.503620i
\(236\) 10.9451 0.712464
\(237\) −16.2357 + 2.23155i −1.05462 + 0.144955i
\(238\) 1.79514 + 1.09165i 0.116362 + 0.0707610i
\(239\) 6.11706 1.71392i 0.395680 0.110864i −0.0662009 0.997806i \(-0.521088\pi\)
0.461881 + 0.886942i \(0.347175\pi\)
\(240\) −4.14475 + 11.6622i −0.267542 + 0.752792i
\(241\) 22.1164 + 9.60653i 1.42465 + 0.618811i 0.963304 0.268412i \(-0.0864989\pi\)
0.461341 + 0.887223i \(0.347368\pi\)
\(242\) 1.39881 + 20.4499i 0.0899189 + 1.31457i
\(243\) 2.59465 1.12702i 0.166447 0.0722982i
\(244\) −5.71825 11.0357i −0.366073 0.706489i
\(245\) −1.99886 + 9.61904i −0.127703 + 0.614538i
\(246\) −18.2211 19.5101i −1.16174 1.24392i
\(247\) −10.0429 2.81387i −0.639011 0.179043i
\(248\) −1.17938 + 1.67080i −0.0748908 + 0.106096i
\(249\) −5.62059 27.0478i −0.356191 1.71408i
\(250\) 18.1238 14.7448i 1.14625 0.932544i
\(251\) −22.7860 + 13.8565i −1.43824 + 0.874613i −0.999709 0.0241041i \(-0.992327\pi\)
−0.438530 + 0.898717i \(0.644501\pi\)
\(252\) 0.353478 0.378482i 0.0222670 0.0238422i
\(253\) −1.80361 2.55514i −0.113392 0.160640i
\(254\) −7.34681 20.6719i −0.460980 1.29707i
\(255\) −0.190164 + 2.78010i −0.0119085 + 0.174097i
\(256\) 8.85571 17.0908i 0.553482 1.06817i
\(257\) 13.2408 + 10.7722i 0.825940 + 0.671952i 0.947191 0.320670i \(-0.103908\pi\)
−0.121251 + 0.992622i \(0.538691\pi\)
\(258\) 24.9335 + 3.42703i 1.55229 + 0.213358i
\(259\) 7.02186 + 0.965132i 0.436317 + 0.0599704i
\(260\) 5.14337 + 4.18444i 0.318978 + 0.259508i
\(261\) 0.287627 0.555094i 0.0178036 0.0343595i
\(262\) −0.667401 + 9.75705i −0.0412322 + 0.602793i
\(263\) 0.201209 + 0.566147i 0.0124071 + 0.0349101i 0.948303 0.317367i \(-0.102799\pi\)
−0.935896 + 0.352277i \(0.885407\pi\)
\(264\) −0.298742 0.423221i −0.0183863 0.0260474i
\(265\) −14.0391 + 15.0322i −0.862417 + 0.923423i
\(266\) −8.32569 + 5.06297i −0.510481 + 0.310430i
\(267\) −9.90983 + 8.06225i −0.606472 + 0.493402i
\(268\) 2.21671 + 10.6674i 0.135407 + 0.651615i
\(269\) −1.17702 + 1.66746i −0.0717644 + 0.101667i −0.851269 0.524729i \(-0.824167\pi\)
0.779505 + 0.626396i \(0.215471\pi\)
\(270\) 17.0012 + 4.76350i 1.03466 + 0.289897i
\(271\) 11.1362 + 11.9239i 0.676473 + 0.724326i 0.973027 0.230690i \(-0.0740983\pi\)
−0.296554 + 0.955016i \(0.595837\pi\)
\(272\) 0.903662 4.34866i 0.0547926 0.263676i
\(273\) −1.85425 3.57854i −0.112224 0.216583i
\(274\) −36.0014 + 15.6376i −2.17493 + 0.944704i
\(275\) 0.0941938 + 1.37707i 0.00568010 + 0.0830402i
\(276\) 12.9074 + 5.60646i 0.776932 + 0.337469i
\(277\) 1.87679 5.28078i 0.112765 0.317291i −0.872427 0.488745i \(-0.837455\pi\)
0.985192 + 0.171453i \(0.0548463\pi\)
\(278\) 4.58456 1.28453i 0.274964 0.0770412i
\(279\) 0.975437 + 0.593176i 0.0583979 + 0.0355125i
\(280\) −0.887618 + 0.122000i −0.0530453 + 0.00729091i
\(281\) 31.2069 1.86165 0.930824 0.365467i \(-0.119091\pi\)
0.930824 + 0.365467i \(0.119091\pi\)
\(282\) −15.7046 + 15.2852i −0.935197 + 0.910219i
\(283\) −28.4059 −1.68856 −0.844279 0.535904i \(-0.819971\pi\)
−0.844279 + 0.535904i \(0.819971\pi\)
\(284\) 20.0321 2.75335i 1.18869 0.163381i
\(285\) −11.0425 6.71510i −0.654102 0.397768i
\(286\) −2.68803 + 0.753150i −0.158946 + 0.0445347i
\(287\) 3.03530 8.54050i 0.179168 0.504130i
\(288\) −1.90850 0.828977i −0.112459 0.0488479i
\(289\) −0.0682424 0.997669i −0.00401426 0.0586864i
\(290\) 6.85934 2.97943i 0.402794 0.174958i
\(291\) −2.02810 3.91406i −0.118889 0.229446i
\(292\) 0.819087 3.94166i 0.0479335 0.230668i
\(293\) −13.3067 14.2480i −0.777385 0.832376i 0.212065 0.977256i \(-0.431981\pi\)
−0.989449 + 0.144880i \(0.953720\pi\)
\(294\) 17.9208 + 5.02117i 1.04516 + 0.292841i
\(295\) −6.09575 + 8.63571i −0.354908 + 0.502791i
\(296\) −0.649984 3.12789i −0.0377795 0.181805i
\(297\) −2.68865 + 2.18738i −0.156011 + 0.126925i
\(298\) 20.3044 12.3474i 1.17620 0.715263i
\(299\) −7.48600 + 8.01554i −0.432926 + 0.463551i
\(300\) −3.58148 5.07381i −0.206777 0.292936i
\(301\) 2.86161 + 8.05179i 0.164940 + 0.464097i
\(302\) −1.05505 + 15.4243i −0.0607113 + 0.887567i
\(303\) 12.5346 24.1908i 0.720097 1.38972i
\(304\) 15.9793 + 13.0001i 0.916477 + 0.745609i
\(305\) 11.8919 + 1.63451i 0.680931 + 0.0935918i
\(306\) −0.523706 0.0719818i −0.0299383 0.00411492i
\(307\) 16.3867 + 13.3316i 0.935241 + 0.760875i 0.971147 0.238480i \(-0.0766492\pi\)
−0.0359064 + 0.999355i \(0.511432\pi\)
\(308\) −0.559491 + 1.07977i −0.0318799 + 0.0615255i
\(309\) 0.583247 8.52677i 0.0331798 0.485071i
\(310\) 4.57320 + 12.8677i 0.259740 + 0.730839i
\(311\) 3.91181 + 5.54177i 0.221818 + 0.314245i 0.912628 0.408792i \(-0.134050\pi\)
−0.690809 + 0.723037i \(0.742746\pi\)
\(312\) −1.23994 + 1.32766i −0.0701980 + 0.0751637i
\(313\) 10.3488 6.29326i 0.584950 0.355716i −0.195720 0.980660i \(-0.562704\pi\)
0.780670 + 0.624944i \(0.214878\pi\)
\(314\) −24.7668 + 20.1493i −1.39767 + 1.13709i
\(315\) 0.101758 + 0.489688i 0.00573343 + 0.0275908i
\(316\) 9.99999 14.1668i 0.562543 0.796942i
\(317\) 11.8403 + 3.31749i 0.665016 + 0.186329i 0.585709 0.810521i \(-0.300816\pi\)
0.0793072 + 0.996850i \(0.474729\pi\)
\(318\) 26.5948 + 28.4761i 1.49136 + 1.59686i
\(319\) −0.298695 + 1.43740i −0.0167237 + 0.0804789i
\(320\) −4.55462 8.79002i −0.254611 0.491377i
\(321\) 29.2539 12.7068i 1.63279 0.709222i
\(322\) 0.699276 + 10.2231i 0.0389691 + 0.569709i
\(323\) 4.25395 + 1.84775i 0.236696 + 0.102812i
\(324\) 4.74318 13.3460i 0.263510 0.741446i
\(325\) 4.66081 1.30590i 0.258535 0.0724382i
\(326\) −13.0629 7.94373i −0.723487 0.439962i
\(327\) −4.57273 + 0.628507i −0.252873 + 0.0347565i
\(328\) −4.08534 −0.225575
\(329\) −7.06100 2.34671i −0.389286 0.129379i
\(330\) −3.45918 −0.190422
\(331\) −28.9824 + 3.98354i −1.59302 + 0.218955i −0.877478 0.479617i \(-0.840776\pi\)
−0.715540 + 0.698572i \(0.753819\pi\)
\(332\) 24.9753 + 15.1878i 1.37070 + 0.833540i
\(333\) −1.71724 + 0.481147i −0.0941039 + 0.0263667i
\(334\) −11.4796 + 32.3005i −0.628135 + 1.76740i
\(335\) −9.65120 4.19211i −0.527301 0.229039i
\(336\) 0.543243 + 7.94193i 0.0296363 + 0.433268i
\(337\) 16.4998 7.16686i 0.898799 0.390404i 0.102096 0.994775i \(-0.467445\pi\)
0.796703 + 0.604371i \(0.206575\pi\)
\(338\) −7.07398 13.6522i −0.384774 0.742580i
\(339\) 4.53044 21.8017i 0.246060 1.18411i
\(340\) −2.01251 2.15488i −0.109144 0.116865i
\(341\) −2.58146 0.723290i −0.139794 0.0391684i
\(342\) 1.41387 2.00300i 0.0764533 0.108310i
\(343\) 2.83136 + 13.6253i 0.152879 + 0.735695i
\(344\) 2.98770 2.43067i 0.161086 0.131053i
\(345\) −11.6122 + 7.06151i −0.625177 + 0.380179i
\(346\) −17.5816 + 18.8253i −0.945194 + 1.01206i
\(347\) 8.07347 + 11.4375i 0.433407 + 0.613998i 0.973798 0.227417i \(-0.0730279\pi\)
−0.540391 + 0.841414i \(0.681724\pi\)
\(348\) −2.21211 6.22427i −0.118581 0.333656i
\(349\) 0.638597 9.33596i 0.0341833 0.499742i −0.948780 0.315939i \(-0.897681\pi\)
0.982963 0.183804i \(-0.0588411\pi\)
\(350\) 2.08053 4.01523i 0.111209 0.214623i
\(351\) 9.42841 + 7.67058i 0.503251 + 0.409425i
\(352\) 4.84067 + 0.665335i 0.258009 + 0.0354625i
\(353\) 0.567904 + 0.0780567i 0.0302265 + 0.00415454i 0.151264 0.988493i \(-0.451666\pi\)
−0.121038 + 0.992648i \(0.538622\pi\)
\(354\) 15.5328 + 12.6368i 0.825557 + 0.671641i
\(355\) −8.98428 + 17.3389i −0.476836 + 0.920252i
\(356\) 0.922463 13.4859i 0.0488905 0.714753i
\(357\) 0.600196 + 1.68879i 0.0317657 + 0.0893802i
\(358\) 9.07536 + 12.8569i 0.479648 + 0.679506i
\(359\) −2.23673 + 2.39495i −0.118050 + 0.126401i −0.787123 0.616796i \(-0.788430\pi\)
0.669073 + 0.743197i \(0.266691\pi\)
\(360\) 0.192613 0.117131i 0.0101516 0.00617333i
\(361\) −1.94722 + 1.58418i −0.102485 + 0.0833781i
\(362\) −3.17982 15.3022i −0.167128 0.804263i
\(363\) −10.0836 + 14.2852i −0.529253 + 0.749781i
\(364\) 4.10645 + 1.15057i 0.215237 + 0.0603065i
\(365\) 2.65381 + 2.84153i 0.138907 + 0.148733i
\(366\) 4.62641 22.2635i 0.241826 1.16373i
\(367\) −5.57029 10.7502i −0.290767 0.561155i 0.697004 0.717067i \(-0.254516\pi\)
−0.987771 + 0.155913i \(0.950168\pi\)
\(368\) 19.8688 8.63026i 1.03574 0.449883i
\(369\) 0.155629 + 2.27522i 0.00810174 + 0.118443i
\(370\) −19.5665 8.49894i −1.01722 0.441839i
\(371\) −4.43019 + 12.4654i −0.230004 + 0.647170i
\(372\) 11.6151 3.25441i 0.602217 0.168733i
\(373\) 3.54699 + 2.15697i 0.183656 + 0.111684i 0.608403 0.793629i \(-0.291811\pi\)
−0.424746 + 0.905312i \(0.639637\pi\)
\(374\) 1.22980 0.169033i 0.0635916 0.00874046i
\(375\) 19.9309 1.02923
\(376\) 0.0691279 + 3.35306i 0.00356500 + 0.172921i
\(377\) 5.14828 0.265150
\(378\) 11.2501 1.54629i 0.578642 0.0795325i
\(379\) −0.129501 0.0787513i −0.00665202 0.00404518i 0.516254 0.856436i \(-0.327326\pi\)
−0.522906 + 0.852390i \(0.675152\pi\)
\(380\) 13.1678 3.68945i 0.675495 0.189265i
\(381\) 6.26724 17.6343i 0.321080 0.903433i
\(382\) 23.1077 + 10.0371i 1.18229 + 0.513542i
\(383\) 0.320618 + 4.68727i 0.0163828 + 0.239508i 0.998647 + 0.0520050i \(0.0165612\pi\)
−0.982264 + 0.187503i \(0.939961\pi\)
\(384\) 5.88029 2.55417i 0.300077 0.130342i
\(385\) −0.540339 1.04281i −0.0275382 0.0531464i
\(386\) 2.61838 12.6003i 0.133272 0.641340i
\(387\) −1.46751 1.57132i −0.0745980 0.0798749i
\(388\) 4.49146 + 1.25845i 0.228020 + 0.0638881i
\(389\) 0.253156 0.358641i 0.0128355 0.0181838i −0.810502 0.585737i \(-0.800805\pi\)
0.823337 + 0.567553i \(0.192110\pi\)
\(390\) 2.46802 + 11.8768i 0.124973 + 0.601403i
\(391\) 3.78327 3.07792i 0.191328 0.155657i
\(392\) 2.43349 1.47984i 0.122910 0.0747431i
\(393\) −5.69438 + 6.09719i −0.287243 + 0.307563i
\(394\) 9.94301 + 14.0860i 0.500922 + 0.709644i
\(395\) 5.60824 + 15.7801i 0.282181 + 0.793981i
\(396\) 0.0208811 0.305271i 0.00104931 0.0153404i
\(397\) 6.99989 13.5092i 0.351314 0.678006i −0.644963 0.764214i \(-0.723127\pi\)
0.996277 + 0.0862079i \(0.0274749\pi\)
\(398\) 22.4779 + 18.2871i 1.12671 + 0.916649i
\(399\) −8.23499 1.13187i −0.412265 0.0566645i
\(400\) −9.47106 1.30177i −0.473553 0.0650884i
\(401\) 1.64278 + 1.33650i 0.0820365 + 0.0667417i 0.671223 0.741255i \(-0.265769\pi\)
−0.589187 + 0.807997i \(0.700552\pi\)
\(402\) −9.17039 + 17.6980i −0.457377 + 0.882698i
\(403\) −0.641556 + 9.37922i −0.0319582 + 0.467212i
\(404\) 9.65406 + 27.1639i 0.480308 + 1.35146i
\(405\) 7.88841 + 11.1753i 0.391978 + 0.555306i
\(406\) 3.28307 3.51531i 0.162936 0.174462i
\(407\) 3.57816 2.17593i 0.177363 0.107857i
\(408\) 0.626643 0.509812i 0.0310235 0.0252395i
\(409\) −6.36070 30.6094i −0.314517 1.51354i −0.778473 0.627679i \(-0.784005\pi\)
0.463956 0.885858i \(-0.346430\pi\)
\(410\) −15.7317 + 22.2867i −0.776933 + 1.10066i
\(411\) −32.2416 9.03368i −1.59036 0.445599i
\(412\) 6.17253 + 6.60917i 0.304099 + 0.325610i
\(413\) −1.38323 + 6.65645i −0.0680641 + 0.327542i
\(414\) −1.18615 2.28916i −0.0582960 0.112506i
\(415\) −25.8930 + 11.2469i −1.27104 + 0.552090i
\(416\) −1.16931 17.0947i −0.0573300 0.838135i
\(417\) 3.72525 + 1.61811i 0.182426 + 0.0792390i
\(418\) −1.92802 + 5.42492i −0.0943024 + 0.265342i
\(419\) 13.8047 3.86790i 0.674404 0.188959i 0.0844891 0.996424i \(-0.473074\pi\)
0.589915 + 0.807465i \(0.299161\pi\)
\(420\) 4.51521 + 2.74576i 0.220320 + 0.133979i
\(421\) 2.83613 0.389818i 0.138225 0.0189986i −0.0667225 0.997772i \(-0.521254\pi\)
0.204947 + 0.978773i \(0.434298\pi\)
\(422\) 24.0826 1.17232
\(423\) 1.86476 0.166232i 0.0906678 0.00808249i
\(424\) 5.96279 0.289579
\(425\) −2.13237 + 0.293088i −0.103435 + 0.0142169i
\(426\) 31.6076 + 19.2210i 1.53139 + 0.931261i
\(427\) 7.43423 2.08297i 0.359768 0.100802i
\(428\) −11.3014 + 31.7990i −0.546273 + 1.53706i
\(429\) −2.18420 0.948731i −0.105454 0.0458051i
\(430\) −1.75511 25.6588i −0.0846388 1.23738i
\(431\) 1.63185 0.708812i 0.0786034 0.0341423i −0.358733 0.933440i \(-0.616791\pi\)
0.437337 + 0.899298i \(0.355922\pi\)
\(432\) −11.0445 21.3150i −0.531381 1.02552i
\(433\) −3.53357 + 17.0045i −0.169813 + 0.817183i 0.804846 + 0.593484i \(0.202248\pi\)
−0.974658 + 0.223699i \(0.928187\pi\)
\(434\) 5.99512 + 6.41921i 0.287775 + 0.308132i
\(435\) 6.14299 + 1.72118i 0.294534 + 0.0825244i
\(436\) 2.81646 3.99001i 0.134884 0.191087i
\(437\) 4.60215 + 22.1468i 0.220151 + 1.05942i
\(438\) 5.71334 4.64814i 0.272994 0.222097i
\(439\) 2.97851 1.81127i 0.142157 0.0864473i −0.446705 0.894681i \(-0.647403\pi\)
0.588861 + 0.808234i \(0.299576\pi\)
\(440\) −0.361326 + 0.386886i −0.0172255 + 0.0184441i
\(441\) −0.916858 1.29889i −0.0436599 0.0618520i
\(442\) −1.45778 4.10181i −0.0693396 0.195103i
\(443\) 1.53753 22.4780i 0.0730504 1.06796i −0.806213 0.591625i \(-0.798487\pi\)
0.879264 0.476335i \(-0.158035\pi\)
\(444\) −8.66897 + 16.7304i −0.411411 + 0.793988i
\(445\) 10.1267 + 8.23869i 0.480052 + 0.390551i
\(446\) −30.8762 4.24384i −1.46203 0.200952i
\(447\) 20.0831 + 2.76036i 0.949900 + 0.130561i
\(448\) −4.93928 4.01840i −0.233359 0.189852i
\(449\) −9.13139 + 17.6228i −0.430937 + 0.831670i 0.569020 + 0.822324i \(0.307323\pi\)
−0.999956 + 0.00934621i \(0.997025\pi\)
\(450\) −0.0776485 + 1.13518i −0.00366039 + 0.0535130i
\(451\) −1.79339 5.04611i −0.0844473 0.237612i
\(452\) 13.5873 + 19.2489i 0.639094 + 0.905390i
\(453\) −9.00186 + 9.63864i −0.422944 + 0.452863i
\(454\) 34.1349 20.7579i 1.60203 0.974215i
\(455\) −3.19486 + 2.59921i −0.149777 + 0.121853i
\(456\) 0.762278 + 3.66828i 0.0356969 + 0.171783i
\(457\) −4.14568 + 5.87309i −0.193927 + 0.274732i −0.902302 0.431104i \(-0.858124\pi\)
0.708375 + 0.705836i \(0.249428\pi\)
\(458\) −9.02835 2.52963i −0.421867 0.118202i
\(459\) −3.68918 3.95014i −0.172196 0.184377i
\(460\) 2.92577 14.0796i 0.136415 0.656465i
\(461\) −16.5934 32.0238i −0.772832 1.49150i −0.868286 0.496064i \(-0.834778\pi\)
0.0954535 0.995434i \(-0.469570\pi\)
\(462\) −2.04067 + 0.886389i −0.0949406 + 0.0412385i
\(463\) −0.638668 9.33699i −0.0296814 0.433927i −0.988632 0.150354i \(-0.951959\pi\)
0.958951 0.283573i \(-0.0915197\pi\)
\(464\) −9.32656 4.05110i −0.432975 0.188067i
\(465\) −3.90119 + 10.9769i −0.180913 + 0.509042i
\(466\) −10.0189 + 2.80716i −0.464116 + 0.130039i
\(467\) −7.78838 4.73622i −0.360403 0.219166i 0.327695 0.944784i \(-0.393728\pi\)
−0.688098 + 0.725617i \(0.741554\pi\)
\(468\) −1.06301 + 0.146108i −0.0491378 + 0.00675384i
\(469\) −6.76771 −0.312504
\(470\) 18.5581 + 12.5347i 0.856022 + 0.578184i
\(471\) −27.2362 −1.25498
\(472\) 3.03581 0.417262i 0.139734 0.0192061i
\(473\) 4.31385 + 2.62331i 0.198351 + 0.120620i
\(474\) 30.5480 8.55916i 1.40312 0.393135i
\(475\) 3.34302 9.40635i 0.153388 0.431593i
\(476\) −1.73941 0.755533i −0.0797257 0.0346298i
\(477\) −0.227150 3.32082i −0.0104005 0.152050i
\(478\) −11.2793 + 4.89929i −0.515903 + 0.224088i
\(479\) −14.3001 27.5979i −0.653387 1.26098i −0.951852 0.306559i \(-0.900822\pi\)
0.298464 0.954421i \(-0.403526\pi\)
\(480\) 4.31989 20.7885i 0.197175 0.948860i
\(481\) −10.0237 10.7328i −0.457043 0.489374i
\(482\) −44.9462 12.5933i −2.04725 0.573611i
\(483\) −5.04089 + 7.14131i −0.229368 + 0.324941i
\(484\) −3.76427 18.1147i −0.171103 0.823394i
\(485\) −3.49440 + 2.84290i −0.158672 + 0.129090i
\(486\) −4.67886 + 2.84528i −0.212237 + 0.129064i
\(487\) 0.809461 0.866721i 0.0366802 0.0392749i −0.712232 0.701944i \(-0.752316\pi\)
0.748912 + 0.662669i \(0.230576\pi\)
\(488\) −2.00677 2.84295i −0.0908424 0.128694i
\(489\) −4.36752 12.2890i −0.197506 0.555729i
\(490\) 1.29785 18.9739i 0.0586309 0.857154i
\(491\) 18.4702 35.6459i 0.833549 1.60868i 0.0407684 0.999169i \(-0.487019\pi\)
0.792780 0.609507i \(-0.208633\pi\)
\(492\) 18.6915 + 15.2067i 0.842679 + 0.685570i
\(493\) −2.26805 0.311736i −0.102148 0.0140399i
\(494\) 20.0015 + 2.74914i 0.899910 + 0.123690i
\(495\) 0.229230 + 0.186493i 0.0103031 + 0.00838222i
\(496\) 8.54259 16.4865i 0.383574 0.740264i
\(497\) −0.857134 + 12.5309i −0.0384477 + 0.562085i
\(498\) 17.9085 + 50.3896i 0.802498 + 2.25801i
\(499\) 12.1259 + 17.1784i 0.542828 + 0.769012i 0.992243 0.124311i \(-0.0396721\pi\)
−0.449416 + 0.893323i \(0.648368\pi\)
\(500\) −14.3943 + 15.4126i −0.643735 + 0.689272i
\(501\) −24.9854 + 15.1940i −1.11627 + 0.678816i
\(502\) 40.0457 32.5796i 1.78733 1.45410i
\(503\) −1.53332 7.37875i −0.0683674 0.329002i 0.930982 0.365065i \(-0.118953\pi\)
−0.999350 + 0.0360627i \(0.988518\pi\)
\(504\) 0.0836143 0.118454i 0.00372448 0.00527638i
\(505\) −26.8092 7.51158i −1.19299 0.334261i
\(506\) 4.13241 + 4.42473i 0.183708 + 0.196703i
\(507\) 2.66866 12.8423i 0.118519 0.570345i
\(508\) 9.11035 + 17.5822i 0.404206 + 0.780083i
\(509\) −18.6420 + 8.09736i −0.826292 + 0.358909i −0.768842 0.639439i \(-0.779167\pi\)
−0.0574503 + 0.998348i \(0.518297\pi\)
\(510\) −0.368118 5.38169i −0.0163005 0.238305i
\(511\) 2.29368 + 0.996285i 0.101466 + 0.0440731i
\(512\) −9.87796 + 27.7939i −0.436548 + 1.22833i
\(513\) 24.1382 6.76320i 1.06573 0.298603i
\(514\) −28.2322 17.1684i −1.24527 0.757265i
\(515\) −8.65239 + 1.18924i −0.381270 + 0.0524043i
\(516\) −22.7171 −1.00007
\(517\) −4.11126 + 1.55731i −0.180813 + 0.0684905i
\(518\) −13.7206 −0.602851
\(519\) −21.7689 + 2.99206i −0.955547 + 0.131337i
\(520\) 1.58613 + 0.964546i 0.0695564 + 0.0422982i
\(521\) 21.8066 6.10993i 0.955366 0.267681i 0.243425 0.969920i \(-0.421729\pi\)
0.711941 + 0.702239i \(0.247816\pi\)
\(522\) −0.405282 + 1.14035i −0.0177387 + 0.0499119i
\(523\) 23.6032 + 10.2523i 1.03210 + 0.448303i 0.845411 0.534116i \(-0.179356\pi\)
0.186687 + 0.982420i \(0.440225\pi\)
\(524\) −0.602411 8.80693i −0.0263164 0.384733i
\(525\) 3.53835 1.53692i 0.154426 0.0670768i
\(526\) −0.535101 1.03270i −0.0233315 0.0450278i
\(527\) 0.850561 4.09312i 0.0370510 0.178299i
\(528\) 3.21033 + 3.43742i 0.139711 + 0.149594i
\(529\) 0.757596 + 0.212269i 0.0329390 + 0.00922907i
\(530\) 22.9613 32.5288i 0.997377 1.41296i
\(531\) −0.348031 1.67482i −0.0151033 0.0726809i
\(532\) 6.82269 5.55067i 0.295801 0.240652i
\(533\) −16.0458 + 9.75765i −0.695020 + 0.422651i
\(534\) 16.8796 18.0736i 0.730450 0.782121i
\(535\) −18.7954 26.6270i −0.812595 1.15119i
\(536\) 1.02152 + 2.87428i 0.0441229 + 0.124150i
\(537\) −0.916137 + 13.3935i −0.0395342 + 0.577970i
\(538\) 1.81772 3.50805i 0.0783676 0.151243i
\(539\) 2.89611 + 2.35616i 0.124744 + 0.101487i
\(540\) −15.7882 2.17003i −0.679414 0.0933833i
\(541\) 21.1386 + 2.90544i 0.908821 + 0.124915i 0.575408 0.817867i \(-0.304843\pi\)
0.333413 + 0.942781i \(0.391800\pi\)
\(542\) −24.4995 19.9318i −1.05234 0.856146i
\(543\) 6.13379 11.8377i 0.263226 0.508004i
\(544\) −0.519976 + 7.60178i −0.0222938 + 0.325923i
\(545\) 1.57954 + 4.44439i 0.0676600 + 0.190377i
\(546\) 4.49928 + 6.37403i 0.192552 + 0.272783i
\(547\) −29.1705 + 31.2340i −1.24724 + 1.33547i −0.326546 + 0.945181i \(0.605885\pi\)
−0.920693 + 0.390287i \(0.872376\pi\)
\(548\) 30.2711 18.4082i 1.29312 0.786361i
\(549\) −1.50686 + 1.22592i −0.0643111 + 0.0523210i
\(550\) −0.543622 2.61605i −0.0231801 0.111549i
\(551\) 6.12314 8.67452i 0.260855 0.369547i
\(552\) 3.79382 + 1.06298i 0.161476 + 0.0452434i
\(553\) 7.35198 + 7.87205i 0.312638 + 0.334754i
\(554\) −2.20727 + 10.6220i −0.0937780 + 0.451284i
\(555\) −8.37223 16.1577i −0.355381 0.685855i
\(556\) −3.94171 + 1.71212i −0.167166 + 0.0726103i
\(557\) −2.74810 40.1757i −0.116441 1.70230i −0.578687 0.815550i \(-0.696435\pi\)
0.462247 0.886751i \(-0.347044\pi\)
\(558\) −2.02701 0.880455i −0.0858102 0.0372726i
\(559\) 5.92908 16.6828i 0.250773 0.705608i
\(560\) 7.83304 2.19472i 0.331007 0.0927437i
\(561\) 0.904791 + 0.550215i 0.0382003 + 0.0232301i
\(562\) −59.8474 + 8.22584i −2.52451 + 0.346986i
\(563\) −42.5991 −1.79534 −0.897670 0.440669i \(-0.854741\pi\)
−0.897670 + 0.440669i \(0.854741\pi\)
\(564\) 12.1647 15.5984i 0.512224 0.656813i
\(565\) −22.7548 −0.957300
\(566\) 54.4758 7.48753i 2.28979 0.314724i
\(567\) 7.51719 + 4.57130i 0.315692 + 0.191977i
\(568\) 5.45129 1.52738i 0.228731 0.0640874i
\(569\) 10.8741 30.5969i 0.455868 1.28269i −0.462380 0.886682i \(-0.653004\pi\)
0.918247 0.396007i \(-0.129604\pi\)
\(570\) 22.9469 + 9.96726i 0.961141 + 0.417482i
\(571\) 2.67504 + 39.1077i 0.111947 + 1.63661i 0.626694 + 0.779266i \(0.284408\pi\)
−0.514747 + 0.857342i \(0.672114\pi\)
\(572\) 2.31111 1.00386i 0.0966323 0.0419733i
\(573\) 9.88745 + 19.0819i 0.413054 + 0.797158i
\(574\) −3.56978 + 17.1787i −0.149000 + 0.717026i
\(575\) −7.16525 7.67211i −0.298812 0.319949i
\(576\) 1.54269 + 0.432240i 0.0642786 + 0.0180100i
\(577\) −15.1252 + 21.4275i −0.629670 + 0.892039i −0.999310 0.0371362i \(-0.988176\pi\)
0.369641 + 0.929175i \(0.379481\pi\)
\(578\) 0.393848 + 1.89530i 0.0163819 + 0.0788342i
\(579\) 8.51608 6.92835i 0.353916 0.287932i
\(580\) −5.76753 + 3.50731i −0.239484 + 0.145633i
\(581\) −12.3931 + 13.2698i −0.514153 + 0.550523i
\(582\) 4.92112 + 6.97164i 0.203987 + 0.288984i
\(583\) 2.61755 + 7.36509i 0.108408 + 0.305031i
\(584\) 0.0769190 1.12452i 0.00318293 0.0465328i
\(585\) 0.476755 0.920096i 0.0197114 0.0380413i
\(586\) 29.2747 + 23.8167i 1.20933 + 0.983859i
\(587\) 39.9365 + 5.48914i 1.64835 + 0.226561i 0.899734 0.436439i \(-0.143760\pi\)
0.748620 + 0.663000i \(0.230717\pi\)
\(588\) −16.6422 2.28742i −0.686313 0.0943315i
\(589\) 15.0403 + 12.2362i 0.619726 + 0.504185i
\(590\) 9.41391 18.1680i 0.387564 0.747965i
\(591\) −1.00372 + 14.6739i −0.0412877 + 0.603605i
\(592\) 9.71342 + 27.3309i 0.399219 + 1.12329i
\(593\) 13.5505 + 19.1966i 0.556451 + 0.788311i 0.993824 0.110969i \(-0.0353954\pi\)
−0.437373 + 0.899280i \(0.644091\pi\)
\(594\) 4.57961 4.90357i 0.187904 0.201196i
\(595\) 1.56487 0.951616i 0.0641533 0.0390125i
\(596\) −16.6389 + 13.5367i −0.681555 + 0.554486i
\(597\) 5.02925 + 24.2021i 0.205833 + 0.990524i
\(598\) 12.2435 17.3451i 0.500675 0.709295i
\(599\) −1.07336 0.300741i −0.0438562 0.0122879i 0.247799 0.968812i \(-0.420293\pi\)
−0.291655 + 0.956524i \(0.594206\pi\)
\(600\) −1.18682 1.27077i −0.0484516 0.0518790i
\(601\) −2.64321 + 12.7198i −0.107819 + 0.518852i 0.890180 + 0.455610i \(0.150579\pi\)
−0.997998 + 0.0632418i \(0.979856\pi\)
\(602\) −7.61025 14.6871i −0.310171 0.598602i
\(603\) 1.56184 0.678403i 0.0636030 0.0276267i
\(604\) −0.952311 13.9223i −0.0387490 0.566490i
\(605\) 16.3890 + 7.11875i 0.666308 + 0.289419i
\(606\) −17.6620 + 49.6961i −0.717470 + 2.01877i
\(607\) −37.8586 + 10.6075i −1.53663 + 0.430545i −0.930946 0.365157i \(-0.881015\pi\)
−0.605689 + 0.795702i \(0.707102\pi\)
\(608\) −30.1941 18.3615i −1.22453 0.744655i
\(609\) 4.06496 0.558717i 0.164721 0.0226403i
\(610\) −23.2368 −0.940829
\(611\) 8.28013 + 13.0045i 0.334978 + 0.526106i
\(612\) 0.477153 0.0192878
\(613\) 4.78247 0.657336i 0.193162 0.0265496i −0.0389369 0.999242i \(-0.512397\pi\)
0.232099 + 0.972692i \(0.425441\pi\)
\(614\) −34.9399 21.2475i −1.41006 0.857477i
\(615\) −22.4082 + 6.27849i −0.903586 + 0.253173i
\(616\) −0.114020 + 0.320822i −0.00459401 + 0.0129263i
\(617\) 0.0886422 + 0.0385027i 0.00356860 + 0.00155006i 0.400185 0.916435i \(-0.368946\pi\)
−0.396616 + 0.917985i \(0.629816\pi\)
\(618\) 1.12904 + 16.5061i 0.0454168 + 0.663971i
\(619\) 37.5855 16.3257i 1.51069 0.656184i 0.529337 0.848411i \(-0.322441\pi\)
0.981350 + 0.192227i \(0.0615710\pi\)
\(620\) −5.67096 10.9445i −0.227751 0.439540i
\(621\) 5.36329 25.8096i 0.215221 1.03570i
\(622\) −8.96268 9.59669i −0.359371 0.384792i
\(623\) 8.08514 + 2.26535i 0.323924 + 0.0907593i
\(624\) 9.51157 13.4748i 0.380767 0.539425i
\(625\) −1.95419 9.40408i −0.0781676 0.376163i
\(626\) −18.1877 + 14.7968i −0.726928 + 0.591400i
\(627\) −4.19634 + 2.55185i −0.167586 + 0.101911i
\(628\) 19.6704 21.0618i 0.784933 0.840458i
\(629\) 3.76602 + 5.33524i 0.150161 + 0.212730i
\(630\) −0.324225 0.912282i −0.0129174 0.0363462i
\(631\) 1.42853 20.8843i 0.0568688 0.831392i −0.878505 0.477732i \(-0.841459\pi\)
0.935374 0.353660i \(-0.115063\pi\)
\(632\) 2.23359 4.31063i 0.0888474 0.171468i
\(633\) 15.9361 + 12.9649i 0.633402 + 0.515310i
\(634\) −23.5813 3.24117i −0.936532 0.128723i
\(635\) −18.9463 2.60411i −0.751862 0.103341i
\(636\) −27.2814 22.1951i −1.08178 0.880091i
\(637\) 6.02336 11.6246i 0.238654 0.460582i
\(638\) 0.193941 2.83532i 0.00767821 0.112251i
\(639\) −1.05830 2.97776i −0.0418656 0.117799i
\(640\) −3.77804 5.35226i −0.149340 0.211567i
\(641\) −10.8633 + 11.6318i −0.429076 + 0.459428i −0.908334 0.418246i \(-0.862645\pi\)
0.479258 + 0.877674i \(0.340906\pi\)
\(642\) −52.7526 + 32.0796i −2.08198 + 1.26608i
\(643\) −23.8795 + 19.4274i −0.941716 + 0.766143i −0.972384 0.233387i \(-0.925019\pi\)
0.0306679 + 0.999530i \(0.490237\pi\)
\(644\) −1.88179 9.05567i −0.0741529 0.356843i
\(645\) 12.6521 17.9239i 0.498175 0.705753i
\(646\) −8.64510 2.42224i −0.340137 0.0953019i
\(647\) −26.1238 27.9718i −1.02703 1.09968i −0.994967 0.100199i \(-0.968052\pi\)
−0.0320661 0.999486i \(-0.510209\pi\)
\(648\) 0.806809 3.88258i 0.0316945 0.152522i
\(649\) 1.84805 + 3.56658i 0.0725424 + 0.140001i
\(650\) −8.59410 + 3.73295i −0.337088 + 0.146418i
\(651\) 0.511321 + 7.47524i 0.0200402 + 0.292978i
\(652\) 12.6574 + 5.49788i 0.495701 + 0.215313i
\(653\) −0.129747 + 0.365073i −0.00507739 + 0.0142864i −0.944773 0.327727i \(-0.893717\pi\)
0.939695 + 0.342013i \(0.111109\pi\)
\(654\) 8.60374 2.41065i 0.336433 0.0942640i
\(655\) 7.28422 + 4.42963i 0.284618 + 0.173080i
\(656\) 36.7465 5.05069i 1.43471 0.197196i
\(657\) −0.629199 −0.0245474
\(658\) 14.1599 + 2.63923i 0.552010 + 0.102888i
\(659\) −18.5367 −0.722088 −0.361044 0.932549i \(-0.617580\pi\)
−0.361044 + 0.932549i \(0.617580\pi\)
\(660\) 3.09325 0.425158i 0.120405 0.0165492i
\(661\) 29.2385 + 17.7804i 1.13725 + 0.691576i 0.956436 0.291942i \(-0.0943015\pi\)
0.180812 + 0.983518i \(0.442128\pi\)
\(662\) 54.5313 15.2790i 2.11942 0.593834i
\(663\) 1.24357 3.49907i 0.0482962 0.135893i
\(664\) 7.50635 + 3.26047i 0.291303 + 0.126531i
\(665\) 0.579673 + 8.47452i 0.0224788 + 0.328628i
\(666\) 3.16642 1.37537i 0.122696 0.0532946i
\(667\) −5.13693 9.91382i −0.198903 0.383865i
\(668\) 6.29527 30.2945i 0.243571 1.17213i
\(669\) −18.1469 19.4306i −0.701600 0.751230i
\(670\) 19.6137 + 5.49550i 0.757743 + 0.212310i
\(671\) 2.63060 3.72671i 0.101553 0.143868i
\(672\) −2.77846 13.3707i −0.107181 0.515784i
\(673\) −2.20257 + 1.79193i −0.0849030 + 0.0690737i −0.672594 0.740012i \(-0.734820\pi\)
0.587691 + 0.809086i \(0.300037\pi\)
\(674\) −29.7535 + 18.0935i −1.14606 + 0.696935i
\(675\) −7.94066 + 8.50237i −0.305636 + 0.327256i
\(676\) 8.00360 + 11.3385i 0.307831 + 0.436097i
\(677\) −14.9138 41.9634i −0.573184 1.61278i −0.774021 0.633160i \(-0.781757\pi\)
0.200837 0.979625i \(-0.435634\pi\)
\(678\) −2.94160 + 43.0046i −0.112971 + 1.65158i
\(679\) −1.33297 + 2.57252i −0.0511549 + 0.0987244i
\(680\) −0.640357 0.520969i −0.0245566 0.0199782i
\(681\) 33.7630 + 4.64061i 1.29380 + 0.177829i
\(682\) 5.14127 + 0.706651i 0.196869 + 0.0270591i
\(683\) 11.6236 + 9.45652i 0.444766 + 0.361844i 0.826981 0.562230i \(-0.190056\pi\)
−0.382216 + 0.924073i \(0.624839\pi\)
\(684\) −1.01812 + 1.96489i −0.0389288 + 0.0751293i
\(685\) −2.33499 + 34.1363i −0.0892152 + 1.30428i
\(686\) −9.02136 25.3837i −0.344437 0.969153i
\(687\) −4.61245 6.53436i −0.175976 0.249301i
\(688\) −23.8685 + 25.5569i −0.909978 + 0.974348i
\(689\) 23.4197 14.2419i 0.892221 0.542572i
\(690\) 20.4080 16.6031i 0.776919 0.632071i
\(691\) −2.20269 10.5999i −0.0837943 0.403241i −0.999997 0.00252487i \(-0.999196\pi\)
0.916202 0.400716i \(-0.131238\pi\)
\(692\) 13.4080 18.9948i 0.509695 0.722074i
\(693\) 0.183017 + 0.0512789i 0.00695224 + 0.00194793i
\(694\) −18.4978 19.8063i −0.702167 0.751838i
\(695\) 0.844421 4.06358i 0.0320307 0.154140i
\(696\) −0.850856 1.64208i −0.0322516 0.0622428i
\(697\) 7.65973 3.32709i 0.290133 0.126023i
\(698\) 1.23619 + 18.0725i 0.0467905 + 0.684053i
\(699\) −8.14099 3.53613i −0.307920 0.133749i
\(700\) −1.36694 + 3.84619i −0.0516654 + 0.145372i
\(701\) −41.6951 + 11.6824i −1.57480 + 0.441239i −0.942698 0.333646i \(-0.891721\pi\)
−0.632103 + 0.774885i \(0.717808\pi\)
\(702\) −20.1033 12.2251i −0.758751 0.461407i
\(703\) −30.0059 + 4.12421i −1.13169 + 0.155548i
\(704\) −3.76215 −0.141791
\(705\) 5.53225 + 18.2854i 0.208357 + 0.688667i
\(706\) −1.10968 −0.0417634
\(707\) −17.7403 + 2.43835i −0.667193 + 0.0917035i
\(708\) −15.4428 9.39097i −0.580376 0.352934i
\(709\) −26.9833 + 7.56037i −1.01338 + 0.283936i −0.736114 0.676858i \(-0.763341\pi\)
−0.277265 + 0.960793i \(0.589428\pi\)
\(710\) 12.6593 35.6200i 0.475097 1.33679i
\(711\) −2.48578 1.07973i −0.0932240 0.0404929i
\(712\) −0.258267 3.77573i −0.00967896 0.141501i
\(713\) 18.7013 8.12312i 0.700369 0.304213i
\(714\) −1.59618 3.08049i −0.0597355 0.115284i
\(715\) −0.495102 + 2.38256i −0.0185158 + 0.0891028i
\(716\) −9.69552 10.3814i −0.362339 0.387970i
\(717\) −10.1013 2.83026i −0.377241 0.105698i
\(718\) 3.65822 5.18252i 0.136524 0.193410i
\(719\) −4.94465 23.7950i −0.184404 0.887402i −0.964976 0.262337i \(-0.915507\pi\)
0.780572 0.625066i \(-0.214928\pi\)
\(720\) −1.58769 + 1.29168i −0.0591699 + 0.0481382i
\(721\) −4.79956 + 2.91868i −0.178745 + 0.108697i
\(722\) 3.31674 3.55136i 0.123436 0.132168i
\(723\) −22.9624 32.5303i −0.853980 1.20981i
\(724\) 4.72419 + 13.2926i 0.175573 + 0.494015i
\(725\) −0.336278 + 4.91621i −0.0124890 + 0.182583i
\(726\) 15.5725 30.0536i 0.577951 1.11540i
\(727\) −11.3427 9.22794i −0.420676 0.342245i 0.397107 0.917772i \(-0.370014\pi\)
−0.817783 + 0.575527i \(0.804797\pi\)
\(728\) 1.18286 + 0.162580i 0.0438397 + 0.00602563i
\(729\) −28.7199 3.94746i −1.06370 0.146202i
\(730\) −5.83837 4.74987i −0.216088 0.175800i
\(731\) −3.62220 + 6.99052i −0.133972 + 0.258554i
\(732\) −1.40066 + 20.4770i −0.0517700 + 0.756851i
\(733\) −6.56324 18.4672i −0.242419 0.682101i −0.999583 0.0288766i \(-0.990807\pi\)
0.757164 0.653225i \(-0.226584\pi\)
\(734\) 13.5161 + 19.1480i 0.498890 + 0.706766i
\(735\) 11.0735 11.8568i 0.408452 0.437345i
\(736\) −31.7517 + 19.3087i −1.17038 + 0.711727i
\(737\) −3.10181 + 2.52351i −0.114257 + 0.0929546i
\(738\) −0.898186 4.32231i −0.0330627 0.159106i
\(739\) 1.73702 2.46079i 0.0638971 0.0905216i −0.783767 0.621055i \(-0.786704\pi\)
0.847664 + 0.530534i \(0.178009\pi\)
\(740\) 18.5413 + 5.19502i 0.681590 + 0.190973i
\(741\) 11.7555 + 12.5871i 0.431849 + 0.462397i
\(742\) 5.21030 25.0734i 0.191276 0.920472i
\(743\) 11.1496 + 21.5177i 0.409039 + 0.789409i 0.999849 0.0174021i \(-0.00553955\pi\)
−0.590810 + 0.806811i \(0.701192\pi\)
\(744\) 3.09759 1.34547i 0.113563 0.0493275i
\(745\) −1.41368 20.6673i −0.0517933 0.757192i
\(746\) −7.37085 3.20161i −0.269866 0.117219i
\(747\) 1.52988 4.30467i 0.0559754 0.157500i
\(748\) −1.07893 + 0.302303i −0.0394497 + 0.0110533i
\(749\) −17.9109 10.8919i −0.654450 0.397980i
\(750\) −38.2227 + 5.25359i −1.39570 + 0.191834i
\(751\) −11.3401 −0.413807 −0.206903 0.978361i \(-0.566339\pi\)
−0.206903 + 0.978361i \(0.566339\pi\)
\(752\) −4.76715 30.0743i −0.173840 1.09670i
\(753\) 44.0385 1.60485
\(754\) −9.87317 + 1.35704i −0.359560 + 0.0494203i
\(755\) 11.5151 + 7.00251i 0.419078 + 0.254847i
\(756\) −9.86994 + 2.76543i −0.358966 + 0.100578i
\(757\) 1.32927 3.74019i 0.0483130 0.135940i −0.915650 0.401977i \(-0.868323\pi\)
0.963963 + 0.266037i \(0.0857145\pi\)
\(758\) 0.269110 + 0.116891i 0.00977452 + 0.00424567i
\(759\) 0.352451 + 5.15266i 0.0127932 + 0.187030i
\(760\) 3.51167 1.52533i 0.127382 0.0553297i
\(761\) 12.2981 + 23.7343i 0.445807 + 0.860368i 0.999616 + 0.0277239i \(0.00882593\pi\)
−0.553809 + 0.832644i \(0.686826\pi\)
\(762\) −7.37083 + 35.4704i −0.267017 + 1.28496i
\(763\) 2.07066 + 2.21713i 0.0749628 + 0.0802656i
\(764\) −21.8969 6.13522i −0.792202 0.221964i
\(765\) −0.265746 + 0.376476i −0.00960805 + 0.0136115i
\(766\) −1.85039 8.90455i −0.0668572 0.321734i
\(767\) 10.9270 8.88975i 0.394550 0.320990i
\(768\) −27.1589 + 16.5157i −0.980011 + 0.595958i
\(769\) −9.99364 + 10.7006i −0.360380 + 0.385873i −0.885099 0.465403i \(-0.845910\pi\)
0.524719 + 0.851275i \(0.324170\pi\)
\(770\) 1.31111 + 1.85743i 0.0472493 + 0.0669370i
\(771\) −9.43930 26.5596i −0.339948 0.956522i
\(772\) −0.792725 + 11.5892i −0.0285308 + 0.417105i
\(773\) −16.8752 + 32.5677i −0.606960 + 1.17138i 0.363834 + 0.931464i \(0.381468\pi\)
−0.970794 + 0.239916i \(0.922880\pi\)
\(774\) 3.22853 + 2.62660i 0.116047 + 0.0944113i
\(775\) −8.91452 1.22527i −0.320219 0.0440131i
\(776\) 1.29376 + 0.177824i 0.0464434 + 0.00638349i
\(777\) −9.07929 7.38655i −0.325718 0.264991i
\(778\) −0.390959 + 0.754517i −0.0140166 + 0.0270508i
\(779\) −2.64315 + 38.6414i −0.0947005 + 1.38447i
\(780\) −3.66668 10.3170i −0.131288 0.369409i
\(781\) 4.27959 + 6.06280i 0.153136 + 0.216944i
\(782\) −6.44411 + 6.89995i −0.230441 + 0.246742i
\(783\) −10.5726 + 6.42932i −0.377833 + 0.229765i
\(784\) −20.0590 + 16.3192i −0.716394 + 0.582829i
\(785\) 5.66265 + 27.2502i 0.202109 + 0.972600i
\(786\) 9.31330 13.1939i 0.332194 0.470612i
\(787\) −12.2968 3.44540i −0.438333 0.122815i 0.0435488 0.999051i \(-0.486134\pi\)
−0.481882 + 0.876236i \(0.660047\pi\)
\(788\) −10.6225 11.3739i −0.378410 0.405178i
\(789\) 0.201867 0.971436i 0.00718665 0.0345841i
\(790\) −14.9147 28.7841i −0.530642 1.02409i
\(791\) −13.4237 + 5.83073i −0.477291 + 0.207317i
\(792\) −0.00584619 0.0854682i −0.000207735 0.00303698i
\(793\) −14.6722 6.37302i −0.521023 0.226312i
\(794\) −9.86323 + 27.7525i −0.350033 + 0.984899i
\(795\) 32.7061 9.16382i 1.15997 0.325007i
\(796\) −22.3477 13.5899i −0.792092 0.481682i
\(797\) −19.2157 + 2.64113i −0.680654 + 0.0935537i −0.468207 0.883619i \(-0.655100\pi\)
−0.212447 + 0.977173i \(0.568143\pi\)
\(798\) 16.0911 0.569618
\(799\) −2.86033 6.23045i −0.101191 0.220417i
\(800\) 16.4005 0.579844
\(801\) −2.09295 + 0.287670i −0.0739508 + 0.0101643i
\(802\) −3.50275 2.13007i −0.123686 0.0752153i
\(803\) 1.42274 0.398633i 0.0502073 0.0140674i
\(804\) 6.02508 16.9530i 0.212488 0.597885i
\(805\) 8.19300 + 3.55872i 0.288765 + 0.125429i
\(806\) −1.24192 18.1562i −0.0437447 0.639525i
\(807\) 3.09140 1.34279i 0.108822 0.0472683i
\(808\) 3.71330 + 7.16635i 0.130634 + 0.252111i
\(809\) −2.28183 + 10.9808i −0.0802250 + 0.386064i −0.999979 0.00643076i \(-0.997953\pi\)
0.919754 + 0.392494i \(0.128388\pi\)
\(810\) −18.0738 19.3523i −0.635048 0.679971i
\(811\) 47.8087 + 13.3954i 1.67879 + 0.470375i 0.971596 0.236644i \(-0.0760475\pi\)
0.707194 + 0.707019i \(0.249961\pi\)
\(812\) −2.50371 + 3.54695i −0.0878631 + 0.124474i
\(813\) −5.48158 26.3788i −0.192247 0.925145i
\(814\) −6.28851 + 5.11608i −0.220412 + 0.179318i
\(815\) −11.3873 + 6.92474i −0.398878 + 0.242563i
\(816\) −5.00620 + 5.36033i −0.175252 + 0.187649i
\(817\) −21.0577 29.8319i −0.736715 1.04369i
\(818\) 20.2666 + 57.0249i 0.708607 + 1.99383i
\(819\) 0.0454843 0.664956i 0.00158935 0.0232355i
\(820\) 11.3283 21.8627i 0.395602 0.763478i
\(821\) 37.5989 + 30.5890i 1.31221 + 1.06756i 0.992780 + 0.119953i \(0.0382744\pi\)
0.319431 + 0.947610i \(0.396508\pi\)
\(822\) 64.2129 + 8.82587i 2.23968 + 0.307837i
\(823\) 23.3542 + 3.20996i 0.814075 + 0.111892i 0.531180 0.847259i \(-0.321749\pi\)
0.282895 + 0.959151i \(0.408705\pi\)
\(824\) 1.96402 + 1.59785i 0.0684200 + 0.0556638i
\(825\) 1.04863 2.02377i 0.0365087 0.0704586i
\(826\) 0.898122 13.1301i 0.0312497 0.456854i
\(827\) −14.9274 42.0016i −0.519075 1.46054i −0.854990 0.518645i \(-0.826437\pi\)
0.335915 0.941892i \(-0.390955\pi\)
\(828\) 1.34202 + 1.90122i 0.0466386 + 0.0660718i
\(829\) −22.0175 + 23.5750i −0.764700 + 0.818794i −0.987755 0.156012i \(-0.950136\pi\)
0.223055 + 0.974806i \(0.428397\pi\)
\(830\) 46.6921 28.3941i 1.62070 0.985572i
\(831\) −7.17898 + 5.84053i −0.249036 + 0.202606i
\(832\) 2.68418 + 12.9170i 0.0930571 + 0.447815i
\(833\) −3.35745 + 4.75642i −0.116329 + 0.164800i
\(834\) −7.57066 2.12120i −0.262151 0.0734512i
\(835\) 20.3964 + 21.8392i 0.705847 + 0.755777i
\(836\) 1.05730 5.08801i 0.0365675 0.175973i
\(837\) −10.3955 20.0625i −0.359322 0.693461i
\(838\) −25.4546 + 11.0565i −0.879315 + 0.381940i
\(839\) −1.70114 24.8698i −0.0587299 0.858601i −0.929945 0.367699i \(-0.880146\pi\)
0.871215 0.490902i \(-0.163333\pi\)
\(840\) 1.35705 + 0.589450i 0.0468226 + 0.0203379i
\(841\) 7.95633 22.3870i 0.274356 0.771964i
\(842\) −5.33628 + 1.49515i −0.183900 + 0.0515264i
\(843\) −44.0310 26.7758i −1.51651 0.922208i
\(844\) −21.5350 + 2.95992i −0.741266 + 0.101885i
\(845\) −13.4037 −0.461100
\(846\) −3.53235 + 0.810327i −0.121445 + 0.0278596i
\(847\) 11.4925 0.394886
\(848\) −53.6336 + 7.37177i −1.84179 + 0.253148i
\(849\) 40.0790 + 24.3726i 1.37551 + 0.836464i
\(850\) 4.01213 1.12415i 0.137615 0.0385579i
\(851\) −10.6661 + 30.0114i −0.365628 + 1.02878i
\(852\) −30.6264 13.3029i −1.04924 0.455751i
\(853\) −1.26102 18.4355i −0.0431767 0.631220i −0.968020 0.250872i \(-0.919283\pi\)
0.924843 0.380348i \(-0.124196\pi\)
\(854\) −13.7080 + 5.95424i −0.469079 + 0.203750i
\(855\) −0.983270 1.89763i −0.0336271 0.0648974i
\(856\) −1.92235 + 9.25086i −0.0657046 + 0.316188i
\(857\) −13.3469 14.2911i −0.455923 0.488174i 0.460909 0.887447i \(-0.347523\pi\)
−0.916832 + 0.399273i \(0.869263\pi\)
\(858\) 4.43884 + 1.24371i 0.151540 + 0.0424594i
\(859\) 8.54198 12.1012i 0.291449 0.412889i −0.644732 0.764409i \(-0.723031\pi\)
0.936180 + 0.351520i \(0.114335\pi\)
\(860\) 4.72309 + 22.7287i 0.161056 + 0.775043i
\(861\) −11.6104 + 9.44579i −0.395683 + 0.321912i
\(862\) −2.94266 + 1.78947i −0.100227 + 0.0609497i
\(863\) 1.84083 1.97105i 0.0626625 0.0670952i −0.698734 0.715381i \(-0.746253\pi\)
0.761397 + 0.648286i \(0.224514\pi\)
\(864\) 23.7496 + 33.6456i 0.807979 + 1.14465i
\(865\) 7.51953 + 21.1579i 0.255672 + 0.719391i
\(866\) 2.29433 33.5419i 0.0779646 1.13980i
\(867\) −0.759723 + 1.46620i −0.0258015 + 0.0497947i
\(868\) −6.14989 5.00331i −0.208741 0.169823i
\(869\) 6.30488 + 0.866586i 0.213878 + 0.0293969i
\(870\) −12.2345 1.68159i −0.414787 0.0570112i
\(871\) 10.8773 + 8.84930i 0.368562 + 0.299847i
\(872\) 0.629081 1.21407i 0.0213034 0.0411137i
\(873\) 0.0497487 0.727301i 0.00168374 0.0246154i
\(874\) −14.6635 41.2591i −0.496000 1.39561i
\(875\) −7.55430 10.7020i −0.255382 0.361794i
\(876\) −4.53766 + 4.85865i −0.153313 + 0.164159i
\(877\) 9.85321 5.99187i 0.332719 0.202331i −0.343280 0.939233i \(-0.611538\pi\)
0.676000 + 0.736902i \(0.263712\pi\)
\(878\) −5.23464 + 4.25869i −0.176660 + 0.143724i
\(879\) 6.54998 + 31.5202i 0.220925 + 1.06315i
\(880\) 2.77172 3.92663i 0.0934347 0.132367i
\(881\) 39.1578 + 10.9715i 1.31926 + 0.369639i 0.856180 0.516678i \(-0.172832\pi\)
0.463079 + 0.886317i \(0.346745\pi\)
\(882\) 2.10069 + 2.24929i 0.0707339 + 0.0757376i
\(883\) −1.52281 + 7.32815i −0.0512466 + 0.246612i −0.996912 0.0785301i \(-0.974977\pi\)
0.945665 + 0.325142i \(0.105412\pi\)
\(884\) 1.80771 + 3.48873i 0.0607999 + 0.117339i
\(885\) 16.0102 6.95422i 0.538178 0.233764i
\(886\) 2.97635 + 43.5126i 0.0999923 + 1.46184i
\(887\) −28.2414 12.2670i −0.948252 0.411884i −0.133082 0.991105i \(-0.542487\pi\)
−0.815171 + 0.579221i \(0.803357\pi\)
\(888\) −1.76668 + 4.97095i −0.0592857 + 0.166814i
\(889\) −11.8443 + 3.31861i −0.397244 + 0.111303i
\(890\) −21.5922 13.1305i −0.723774 0.440137i
\(891\) 5.14983 0.707828i 0.172526 0.0237131i
\(892\) 28.1316 0.941916
\(893\) 31.7598 + 1.51552i 1.06280 + 0.0507150i
\(894\) −39.2423 −1.31246
\(895\) 13.5908 1.86801i 0.454289 0.0624406i
\(896\) −3.60025 2.18936i −0.120276 0.0731414i
\(897\) 17.4397 4.88637i 0.582293 0.163151i
\(898\) 12.8666 36.2032i 0.429365 1.20812i
\(899\) −8.77851 3.81304i −0.292780 0.127172i
\(900\) −0.0700873 1.02464i −0.00233624 0.0341547i
\(901\) −11.1798 + 4.85608i −0.372454 + 0.161780i
\(902\) 4.76939 + 9.20451i 0.158803 + 0.306477i
\(903\) 2.87096 13.8158i 0.0955397 0.459762i
\(904\) 4.50251 + 4.82101i 0.149751 + 0.160345i
\(905\) −13.1190 3.67577i −0.436090 0.122187i
\(906\) 14.7228 20.8574i 0.489131 0.692941i
\(907\) 6.27846 + 30.2136i 0.208473 + 1.00323i 0.945063 + 0.326887i \(0.106000\pi\)
−0.736591 + 0.676339i \(0.763566\pi\)
\(908\) −27.9726 + 22.7574i −0.928304 + 0.755232i
\(909\) 3.84965 2.34102i 0.127685 0.0776469i
\(910\) 5.44185 5.82680i 0.180396 0.193156i
\(911\) 29.3189 + 41.5354i 0.971377 + 1.37613i 0.926152 + 0.377151i \(0.123096\pi\)
0.0452258 + 0.998977i \(0.485599\pi\)
\(912\) −11.3916 32.0528i −0.377212 1.06137i
\(913\) −0.732101 + 10.7029i −0.0242290 + 0.354215i
\(914\) 6.40234 12.3560i 0.211771 0.408699i
\(915\) −15.3763 12.5096i −0.508326 0.413554i
\(916\) 8.38420 + 1.15238i 0.277022 + 0.0380758i
\(917\) 5.43223 + 0.746642i 0.179388 + 0.0246563i
\(918\) 8.11618 + 6.60300i 0.267874 + 0.217932i
\(919\) −1.05078 + 2.02792i −0.0346622 + 0.0668950i −0.904586 0.426291i \(-0.859820\pi\)
0.869924 + 0.493186i \(0.164168\pi\)
\(920\) 0.274754 4.01676i 0.00905837 0.132429i
\(921\) −11.6820 32.8700i −0.384935 1.08310i
\(922\) 40.2634 + 57.0402i 1.32600 + 1.87852i
\(923\) 17.7627 19.0192i 0.584665 0.626023i
\(924\) 1.71586 1.04343i 0.0564475 0.0343265i
\(925\) 10.9037 8.87084i 0.358512 0.291672i
\(926\) 3.68595 + 17.7378i 0.121128 + 0.582900i
\(927\) 0.815062 1.15468i 0.0267701 0.0379246i
\(928\) 16.7971 + 4.70633i 0.551392 + 0.154493i
\(929\) 5.40825 + 5.79083i 0.177439 + 0.189991i 0.813355 0.581767i \(-0.197639\pi\)
−0.635916 + 0.771758i \(0.719378\pi\)
\(930\) 4.58815 22.0794i 0.150451 0.724012i
\(931\) −12.4227 23.9747i −0.407137 0.785740i
\(932\) 8.61401 3.74159i 0.282161 0.122560i
\(933\) −0.764422 11.1755i −0.0250261 0.365868i
\(934\) 16.1847 + 7.03000i 0.529579 + 0.230029i
\(935\) 0.362383 1.01965i 0.0118512 0.0333460i
\(936\) −0.289275 + 0.0810512i −0.00945526 + 0.00264924i
\(937\) 11.8680 + 7.21710i 0.387711 + 0.235772i 0.699889 0.714251i \(-0.253233\pi\)
−0.312178 + 0.950024i \(0.601059\pi\)
\(938\) 12.9789 1.78390i 0.423775 0.0582465i
\(939\) −20.0012 −0.652714
\(940\) −18.1355 8.92782i −0.591516 0.291193i
\(941\) −27.8780 −0.908798 −0.454399 0.890798i \(-0.650146\pi\)
−0.454399 + 0.890798i \(0.650146\pi\)
\(942\) 52.2326 7.17921i 1.70183 0.233911i
\(943\) 34.8003 + 21.1625i 1.13325 + 0.689147i
\(944\) −26.7904 + 7.50631i −0.871952 + 0.244310i
\(945\) 3.31503 9.32761i 0.107838 0.303427i
\(946\) −8.96441 3.89379i −0.291458 0.126598i
\(947\) 1.34092 + 19.6036i 0.0435741 + 0.637030i 0.967245 + 0.253844i \(0.0816950\pi\)
−0.923671 + 0.383186i \(0.874827\pi\)
\(948\) −26.2645 + 11.4083i −0.853033 + 0.370524i
\(949\) −2.38374 4.60042i −0.0773796 0.149336i
\(950\) −3.93169 + 18.9203i −0.127561 + 0.613856i
\(951\) −13.8594 14.8398i −0.449423 0.481214i
\(952\) −0.511259 0.143248i −0.0165700 0.00464270i
\(953\) −5.71806 + 8.10065i −0.185226 + 0.262406i −0.898979 0.437992i \(-0.855690\pi\)
0.713753 + 0.700398i \(0.246994\pi\)
\(954\) 1.31096 + 6.30866i 0.0424437 + 0.204251i
\(955\) 17.0360 13.8598i 0.551271 0.448492i
\(956\) 9.48396 5.76732i 0.306733 0.186529i
\(957\) 1.65474 1.77180i 0.0534902 0.0572740i
\(958\) 34.6987 + 49.1568i 1.12106 + 1.58818i
\(959\) 7.36968 + 20.7363i 0.237980 + 0.669610i
\(960\) −1.11564 + 16.3101i −0.0360071 + 0.526405i
\(961\) −6.22141 + 12.0068i −0.200691 + 0.387315i
\(962\) 22.0522 + 17.9408i 0.710991 + 0.578434i
\(963\) 5.22525 + 0.718195i 0.168381 + 0.0231435i
\(964\) 41.7394 + 5.73695i 1.34434 + 0.184775i
\(965\) −8.70245 7.07997i −0.280142 0.227912i
\(966\) 7.78484 15.0241i 0.250473 0.483391i
\(967\) −2.56634 + 37.5185i −0.0825279 + 1.20652i 0.753357 + 0.657611i \(0.228433\pi\)
−0.835885 + 0.548904i \(0.815045\pi\)
\(968\) −1.73468 4.88091i −0.0557546 0.156878i
\(969\) −4.41666 6.25698i −0.141884 0.201003i
\(970\) 5.95206 6.37310i 0.191109 0.204628i
\(971\) −29.1348 + 17.7172i −0.934979 + 0.568574i −0.902402 0.430896i \(-0.858198\pi\)
−0.0325776 + 0.999469i \(0.510372\pi\)
\(972\) 3.83420 3.11935i 0.122982 0.100053i
\(973\) −0.543112 2.61360i −0.0174114 0.0837881i
\(974\) −1.32389 + 1.87553i −0.0424203 + 0.0600959i
\(975\) −7.69658 2.15648i −0.246488 0.0690626i
\(976\) 21.5651 + 23.0906i 0.690281 + 0.739111i
\(977\) 8.43403 40.5868i 0.269828 1.29849i −0.597950 0.801534i \(-0.704018\pi\)
0.867778 0.496952i \(-0.165548\pi\)
\(978\) 11.6151 + 22.4162i 0.371411 + 0.716790i
\(979\) 4.55031 1.97648i 0.145428 0.0631685i
\(980\) 1.17147 + 17.1263i 0.0374212 + 0.547079i
\(981\) −0.700110 0.304101i −0.0223528 0.00970918i
\(982\) −26.0255 + 73.2289i −0.830508 + 2.33683i
\(983\) 54.7843 15.3498i 1.74735 0.489584i 0.760241 0.649642i \(-0.225081\pi\)
0.987108 + 0.160058i \(0.0511680\pi\)
\(984\) 5.76415 + 3.50526i 0.183754 + 0.111744i
\(985\) 14.8901 2.04660i 0.474438 0.0652101i
\(986\) 4.43175 0.141136
\(987\) 7.94912 + 9.36947i 0.253023 + 0.298233i
\(988\) −18.2235 −0.579768
\(989\) −38.0414 + 5.22867i −1.20965 + 0.166262i
\(990\) −0.488767 0.297226i −0.0155340 0.00944645i
\(991\) 46.5711 13.0486i 1.47938 0.414502i 0.566955 0.823749i \(-0.308121\pi\)
0.912424 + 0.409246i \(0.134208\pi\)
\(992\) −10.6672 + 30.0147i −0.338685 + 0.952969i
\(993\) 44.3102 + 19.2466i 1.40614 + 0.610774i
\(994\) −1.65923 24.2571i −0.0526276 0.769389i
\(995\) 23.1688 10.0636i 0.734500 0.319039i
\(996\) −22.2073 42.8581i −0.703664 1.35801i
\(997\) 0.527410 2.53804i 0.0167032 0.0803804i −0.969907 0.243475i \(-0.921713\pi\)
0.986610 + 0.163094i \(0.0521475\pi\)
\(998\) −27.7826 29.7478i −0.879441 0.941652i
\(999\) 33.9883 + 9.52308i 1.07534 + 0.301297i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 799.2.k.b.494.6 704
47.2 even 23 inner 799.2.k.b.613.6 yes 704
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
799.2.k.b.494.6 704 1.1 even 1 trivial
799.2.k.b.613.6 yes 704 47.2 even 23 inner